Chaotic attractors and fixed point methods in piecewise fractional derivatives and multi-term fractional delay differential equations

Abdeljawad, ThabetPanda, Sumati KumariAbdeljawad, ThabetJarad, FahdJarad, FahdMatematik2023-11-282023-11-282023Panda, Sumati Kumari; Abdeljawad, Thabet; Jarad, Fahd. (2023). "Chaotic attractors and fixed point methods in piecewise fractional derivatives and multi-term fractional delay differential equations", Results in Physics, Vol.46.2211-3797https://doi.org/10.1016/j.rinp.2023.106313Panda, Sumati Kumari/0000-0002-0220-8222Using generalized cyclic contractions, we establish some fixed point results in controlled rectangular metric spaces. Some subsequent outcomes are obtained. Moreover, some necessary conditions to demonstrate the existence of solutions for the multi-term fractional delay differential equations with wth order and the piecewise equations under the setting of non-singular type derivative are established in this paper. In order to demonstrate the effectiveness of our results, we provided some numerical examples.eninfo:eu-repo/semantics/openAccessCyclic MappingPiecewise Caputo-Fabrizio FractionalDerivativesFractional Delay Differential EquationsFixed PointChaotic attractors and fixed point methods in piecewise fractional derivatives and multi-term fractional delay differential equationsChaotic Attractors and Fixed Point Methods in Piecewise Fractional Derivatives and Multi-Term Fractional Delay Differential EquationsArticle4610.1016/j.rinp.2023.1063132-s2.0-85149470078WOS:000962192800001Q1Q1